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amistre64

7 years ago

you start with a problem; and determines its critereia for the rates of change and then pick a suitable answer...

anonymous

7 years ago

for instance Find two positive numbers whose product is 900 and whose sum is a minimum. (Give your answers in increasing order.)
The 2 numbers x and 900/x have a product of 900.
To find when their sum is a minimum, find the lowest value of y for the equation y = x + 900/x where x is positive.
This occurs when x = 30 from its graph.
You can also find this minimum value by finding the first derivative of y = x + 900/x, setting it equal to zero, and solving for x.
f'(x) = 1 - 900/x²
1 - 900/x² = 0
x² - 900 = 0
x² = 900
x = 30